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Equilibrium Selections

Author

Listed:
  • Heracles M. Polemarchakis

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain)

  • Beth Allen
  • Jayasri Dutta

Abstract

This paper analyses the impact of multiple competitive equilibria and complete markets in a simple general equilibrium model. A random selection from the equilibrium correspondence of a finite exchange economy defines probability distributions on equilibrium prices. Asset markets allow traders to insure against the resulting uncertainty. If asset markets are complete, equilibrium selections are necessarily degenerate. The selection cannot be non- trivially random, and must assign probability one to particular equilibrium price vectors. In this case, asset prices reveal the choice of equilibrium price vectors and achieve the coordination of traders' expectations. If the asset market is incomplete, equilibrium selections can be non-degenerate, so that price uncertainty is self-fulfilling. A fully insured random selection defines an iterative procedure of reallocations which is Pareto improving at each step. The process converges to a Pareto optimum in finitely many steps. The key requirement is that the random selection be continuous, which is a generic condition for smooth exchange economies with strictly concave utility functions.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Heracles M. Polemarchakis & Beth Allen & Jayasri Dutta, 1994. "Equilibrium Selections," Working Papers hal-00607668, HAL.
    • Handle: RePEc:hal:wpaper:hal-00607668
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    References listed on IDEAS

    as
    1. E. Malinvaud, 1972. "Prices for Individual Consumption, Quantity Indicators for Collective Consumption," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(4), pages 385-405.
    2. Edmond Malinvaud, 1974. "The Allocation of Individual Risks in Large Markets," International Economic Association Series, in: Jacques H. Drèze (ed.), Allocation under Uncertainty: Equilibrium and Optimality, chapter 8, pages 110-125, Palgrave Macmillan.
    3. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    4. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    5. Balasko, Yves, 1983. "Extrinsic uncertainty revisited," Journal of Economic Theory, Elsevier, vol. 31(2), pages 203-210, December.
    6. Mas-Colell, Andreu & Nachbar, John H., 1991. "On the finiteness of the number of critical equilibria, with an application to random selections," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 397-409.
    7. Chichilnisky, G. & Dutta, J. & Heal, G.M., 1992. "Price Uncertainty and Derivative Securities in a General Equilibrium Model," Papers 178, Cambridge - Risk, Information & Quantity Signals.
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    Cited by:

    1. Dutta, Jayasri & Morris, Stephen, 1997. "The Revelation of Information and Self-Fulfilling Beliefs," Journal of Economic Theory, Elsevier, vol. 73(1), pages 231-244, March.
    2. Ghosal, Sayantan & Morelli, Massimo, 2004. "Retrading in market games," Journal of Economic Theory, Elsevier, vol. 115(1), pages 151-181, March.
    3. Hector Calvo-Pardo, 2009. "Are the antiglobalists right? Gains-from-trade without a Walrasian auctioneer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(3), pages 561-592, March.

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    More about this item

    Keywords

    Equilibrium; Selections;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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